Template-type: ReDif-Paper 1.0 Author-Name: Can, Burak Author-workplace-name: Microeconomics & Public Economics, RS: GSBE ETBC Author-Name: Pourpouneh, Mohsen Author-workplace-name: Quantitative Economics Author-Name: Storcken, Ton Author-workplace-name: QE Math. Economics & Game Theory, RS: GSBE ETBC Title: Cost of transformation: a measure on matchings Abstract: This paper constructs a normative framework to quantify the difference between two matchings in roommate markets. We investigate the “cost of transformation” from one mechanism to another, based on the differences in the outputs of these mechanisms. Several conditions are introduced to ensure this cost reflects the welfare effect of the transformation on individuals. We introduce a measure called the Borda measure, which is fully characterized by these conditions. Several possible applications of this measure under different contexts interpretations are also discussed, such as measuring how unstable, how unfair, or how inefficient a matching is. Series: GSBE Research Memoranda Creation-Date: 20170606 Number: 015 File-URL: https://cris.maastrichtuniversity.nl/ws/files/13734876/RM17015.pdf File-Format: application/pdf File-Size: 582688 Handle: Repec:unm:umagsb:2017015 DOI: 10.26481/umagsb.2017015